TY - JOUR
T1 - Zeta stars
AU - Ohno, Yasuo
AU - Zudilin, Wadim
PY - 2008/6
Y1 - 2008/6
N2 - We present two new families of identities for the multiple zeta (star) values: The first one generalizes the formula ζ*({2}n, 1) = 2ζ(2n + 1), where {2}n denotes the n-tuple (2, 2,..., 2), while the second family is a weighted analogue of Euler's formula Σl=2n-1 ζ(l, n - l) = ζ(n) (n ≥ 3).
AB - We present two new families of identities for the multiple zeta (star) values: The first one generalizes the formula ζ*({2}n, 1) = 2ζ(2n + 1), where {2}n denotes the n-tuple (2, 2,..., 2), while the second family is a weighted analogue of Euler's formula Σl=2n-1 ζ(l, n - l) = ζ(n) (n ≥ 3).
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U2 - 10.4310/CNTP.2008.v2.n2.a2
DO - 10.4310/CNTP.2008.v2.n2.a2
M3 - Article
AN - SCOPUS:68549117200
VL - 2
SP - 325
EP - 347
JO - Communications in Number Theory and Physics
JF - Communications in Number Theory and Physics
SN - 1931-4523
IS - 2
ER -